The number 34009
34009 is a composite number with 4 divisors. Its prime factorisation is 71 × 479. Divisors (4): 1, 71, 479, 34009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34009: a semiprime: 71 × 479, the product of two primes.
- 2
34009 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 34009 itself that is 551, so 34009 is deficient (551 is less than 34009). Euler's totient φ(34009) = 33460 numbers up to 34009 share no factor with it.
- 4
The digits of 34009 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34009 = 71 \times 479 \]
34009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 33460 |
| Square | 1156612081 |
| Cube | 39335220262729 |
| Square root | 184.415292 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4009 × |
34009 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and nine |
| Binary (base 2) | 1000010011011001 |
| Octal (base 8) | 102331 |
| Hexadecimal (base 16) | 84D9 |
| Base 3 | 1201122121 |
| As time | 34009 seconds = 9 h 26 min 49 s |
Is 34009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34009 a prime number?
No. 34009 = 71 × 479, so it is divisible by 71.
What are the factors of 34009?
1, 71, 479, 34009.
What is 34009 in binary?
1000010011011001 (hexadecimal 84D9, octal 102331).
What is the square root of 34009?
About 184.4153.
Is 34009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34009?
34009 is a semiprime: 71 × 479, the product of two primes.